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Finding the Fourth Proportional to 384,119.28, 577,440.90 and 356,374.55

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Solution

The fourth proportional to 384,119.28, 577,440.90 and 356,374.55 is: 535,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,119.28 : 577,440.90 = 356,374.55 : x
  2. Step 2: Convert to fraction form
    384,119.28/577,440.90 = 356,374.55/x
  3. Step 3: Cross multiply
    384,119.28x = 577,440.90 × 356,374.55
  4. Step 4: Simplify right side
    384,119.28x = 205,785,242,332.70
  5. Step 5: Solve for x
    x = 205,785,242,332.70/384,119.28
  6. Step 6: Final answer
    x = 535,732.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.